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The H-Function
The two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book begins...
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| Lenguaje: | eng |
| Publicado: |
Springer
2009
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| Acceso en línea: | https://dx.doi.org/10.1007/978-1-4419-0916-9 http://cds.cern.ch/record/1315690 |
| _version_ | 1780921373651107840 |
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| author | Mathai, AM |
| author_facet | Mathai, AM |
| author_sort | Mathai, AM |
| collection | CERN |
| description | The two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book begins by setting forth definitions, contours, existence conditions, and particular cases of the H-function. The authors then deal with Laplace, Fourier, Hankel, and other transforms. As these relations are explored, fractional calculus and its relations to H-functions emerge with important results on fra |
| id | cern-1315690 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2009 |
| publisher | Springer |
| record_format | invenio |
| spelling | cern-13156902021-04-22T01:12:26Zdoi:10.1007/978-1-4419-0916-9http://cds.cern.ch/record/1315690engMathai, AMThe H-FunctionOther Fields of PhysicsThe two main topics emphasized in this book, special functions and fractional calculus, are currently under fast development in theory and application to many problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book begins by setting forth definitions, contours, existence conditions, and particular cases of the H-function. The authors then deal with Laplace, Fourier, Hankel, and other transforms. As these relations are explored, fractional calculus and its relations to H-functions emerge with important results on fraThe topics of special H-function and fractional calculus are currently undergoing rapid changes both in theory and application. Taking into account the latest research results, the authors delve into these topics as they relate to applications to problems in statistics, physics, and engineering, particularly in condensed matter physics, plasma physics, and astrophysics. The book sets forth the definitions, contours, existence conditions, and particular cases for the H-function, then explores the properties and relationships among the Laplace, Fourier, Hankel, and other transforms. From here, the H-functions are utilized for applications in statistical distribution theory, structures of random variables, generalized distributions, Mathai’s pathway models, and versatile integrals. Functions of matrix argument are introduced with a focus on real-valued scalar functions when the matrices are real or Hermitian positive-definite. The text concludes with important recent applications to physical problems in reaction, diffusion, reaction-diffusion theory and statistics, and superstatistics. Generalized entropies as well as applications in astrophysics are dealt with. Over the last few years, material in this book has been added to various courses and developed to meet the needs of scholars at the PhD level. All exercises in the book have been used to probe the knowledge and ability of mathematics, statistics, and physics to students and researchers. Springeroai:cds.cern.ch:13156902009 |
| spellingShingle | Other Fields of Physics Mathai, AM The H-Function |
| title | The H-Function |
| title_full | The H-Function |
| title_fullStr | The H-Function |
| title_full_unstemmed | The H-Function |
| title_short | The H-Function |
| title_sort | h-function |
| topic | Other Fields of Physics |
| url | https://dx.doi.org/10.1007/978-1-4419-0916-9 http://cds.cern.ch/record/1315690 |
| work_keys_str_mv | AT mathaiam thehfunction AT mathaiam hfunction |